Helicoid to Spiral Ribbon Transition
- 4 April 2005
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 94 (13), 138101
- https://doi.org/10.1103/physrevlett.94.138101
Abstract
We present a continuum description for the transition between the helicoid and spiral ribbon structures of chiral materials. At a critical value of the ratio between the bending and stretching moduli, the Föppl-von Kármán number, we encounter a continuous buckling transition from a straight helicoid to a spiral ribbon. Two of the three persistence lengths of the ribbon become very short at the transition point, indicating strong thermal shape fluctuations. The transition is discontinuous if the ribbon width is treated as a free thermodynamic variable.This publication has 11 references indexed in Scilit:
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